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Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

Advances in Applied Mathematics and Mechanics, 2022
We employ the Riemann-Hilbert (RH) method to study the Hirota equation with arbitrary order zero poles under zero boundary conditions. Through the spectral analysis, the asymptoticity, symmetry, and analysis of the Jost functions are obtained, which play
Xiaofan Zhang   +2 more
semanticscholar   +1 more source

Solutions to a Vector Heisenberg Ferromagnet Equation Related to Symmetric Spaces

Geometry Integrability and Quantization, 2019
In this report we consider a vector generalization of Heisenberg ferromagnet equation. That completely integrable system is related to a spectral problem in pole gauge for the Lie algebra sl(n + 1,C).
T. Valchev, A. Yanovski
semanticscholar   +1 more source

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